5(x-3)+(x+3)=3(x-1)

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Solution for 5(x-3)+(x+3)=3(x-1) equation:


Simplifying
5(x + -3) + (x + 3) = 3(x + -1)

Reorder the terms:
5(-3 + x) + (x + 3) = 3(x + -1)
(-3 * 5 + x * 5) + (x + 3) = 3(x + -1)
(-15 + 5x) + (x + 3) = 3(x + -1)

Reorder the terms:
-15 + 5x + (3 + x) = 3(x + -1)

Remove parenthesis around (3 + x)
-15 + 5x + 3 + x = 3(x + -1)

Reorder the terms:
-15 + 3 + 5x + x = 3(x + -1)

Combine like terms: -15 + 3 = -12
-12 + 5x + x = 3(x + -1)

Combine like terms: 5x + x = 6x
-12 + 6x = 3(x + -1)

Reorder the terms:
-12 + 6x = 3(-1 + x)
-12 + 6x = (-1 * 3 + x * 3)
-12 + 6x = (-3 + 3x)

Solving
-12 + 6x = -3 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-12 + 6x + -3x = -3 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-12 + 3x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 3x = -3 + 0
-12 + 3x = -3

Add '12' to each side of the equation.
-12 + 12 + 3x = -3 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -3 + 12
3x = -3 + 12

Combine like terms: -3 + 12 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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